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Research Article | Open Access

A new structure of solutions to the coupled nonlinear Maccari's systems in plasma physics

R. A. Alomair1, S. Z. Hassan1( ), Mahmoud A. E. Abdelrahman2,3( )
Department of Mathematics, College of Science and Humanities, Jubail, Imam Abdulrahman Bin Faisal University, Saudi Arabia
Department of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia
Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
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Abstract

The nonlinear Maccari's systems depict the dynamics of isolated waves, detained in a small part of space, in optical communications, hydrodynamics and plasma physics. In this paper, we construct some new solutions for the Maccari's systems, using the unified solver technique based on He's variations technique. These solutions prescribe some vital complex phenomena in plasma physics. The proposed solver will be used as a box solver for considering various models in applied science and new physics. Some graphs are presented in order to display the dynamical behaviour of the gained solutions.

Keywords

Maccari's systemsunified solvernonlinear waveshyperbolic function solutionsphysical phenomena
CLC number: 34A34, 35A08, 35C05, 35Q35

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AIMS Mathematics
Volume 7 Issue 5,
May 2022
Pages 8588-8606
DOI: 10.3934/math.2022479

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Cite this article:
Alomair RA, Hassan SZ, Abdelrahman MAE. A new structure of solutions to the coupled nonlinear Maccari's systems in plasma physics. AIMS Mathematics, 2022, 7(5): 8588-8606. https://doi.org/10.3934/math.2022479

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Received: 14 December 2021
Revised: 01 February 2022
Accepted: 18 February 2022
Published: 15 May 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)